Question
Find the prime factorization of number 9888.
Answer
The prime factorization of 9888 is:
$$ 9888 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot103 $$Which is the same as :
$$ 9888 = 2^{5}\cdot3\cdot103 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9888 can be written as 2 × 4944. |
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| 4944 can be written as 2 × 2472. |
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| 2472 can be written as 2 × 1236. |
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| 1236 can be written as 2 × 618. |
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| 618 can be written as 2 × 309. |
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| 309 can be written as 3 × 103. |
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| The end nodes are the prime factors of the number 9888. |
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